On algebraic solutions of algebraic Pfaff equations
Tom 114 / 1995
Studia Mathematica 114 (1995), 117-126
DOI: 10.4064/sm-114-2-117-126
Streszczenie
We give a new proof of Jouanolou's theorem about non-existence of algebraic solutions to the system . We also present some generalizations of the results of Darboux and Jouanolou about algebraic Pfaff forms with algebraic solutions.